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Finding the Fourth Proportional to 594.96, 892.28 and 229.66

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Solution

The fourth proportional to 594.96, 892.28 and 229.66 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.96 : 892.28 = 229.66 : x
  2. Step 2: Convert to fraction form
    594.96/892.28 = 229.66/x
  3. Step 3: Cross multiply
    594.96x = 892.28 × 229.66
  4. Step 4: Simplify right side
    594.96x = 204,921.02
  5. Step 5: Solve for x
    x = 204,921.02/594.96
  6. Step 6: Final answer
    x = 344.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.